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Finding the Fourth Proportional to 5,827.76, 8,042.03 and 3,309.54

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Solution

The fourth proportional to 5,827.76, 8,042.03 and 3,309.54 is: 4,567.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,827.76 : 8,042.03 = 3,309.54 : x
  2. Step 2: Convert to fraction form
    5,827.76/8,042.03 = 3,309.54/x
  3. Step 3: Cross multiply
    5,827.76x = 8,042.03 × 3,309.54
  4. Step 4: Simplify right side
    5,827.76x = 26,615,363.21
  5. Step 5: Solve for x
    x = 26,615,363.21/5,827.76
  6. Step 6: Final answer
    x = 4,567.00

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.